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232142100414 = 23723743496291
BaseRepresentation
bin1101100000110010111…
…1110101011110111110
3211012012101022120012220
43120030233311132332
512300411334203124
6254351122510210
722525461203400
oct3301457653676
9735171276186
10232142100414
118a4a6188a54
1238ba7b05366
1318b774229c3
14b342c14b70
15608a17e879
hex360cbf57be

232142100414 has 96 divisors (see below), whose sum is σ = 567583353216. Its totient is φ = 63032800320.

The previous prime is 232142100413. The next prime is 232142100427. The reversal of 232142100414 is 414001241232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232142100413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219609 + ... + 715899.

It is an arithmetic number, because the mean of its divisors is an integer number (5912326596).

Almost surely, 2232142100414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232142100414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283791676608).

232142100414 is an abundant number, since it is smaller than the sum of its proper divisors (335441252802).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

232142100414 is a wasteful number, since it uses less digits than its factorization.

232142100414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496390 (or 496383 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 232142100414 its reverse (414001241232), we get a palindrome (646143341646).

The spelling of 232142100414 in words is "two hundred thirty-two billion, one hundred forty-two million, one hundred thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 37 42 43 49 74 86 98 111 129 147 222 258 259 294 301 518 602 777 903 1554 1591 1806 1813 2107 3182 3626 4214 4773 5439 6321 9546 10878 11137 12642 22274 33411 66822 77959 155918 233877 467754 496291 992582 1488873 2977746 3474037 6948074 10422111 18362767 20844222 21340513 24318259 36725534 42681026 48636518 55088301 64021539 72954777 110176602 128043078 128539369 145909554 149383591 257078738 298767182 385618107 448150773 771236214 789598981 896301546 899775583 1045685137 1579197962 1799551166 2091370274 2368796943 2699326749 3137055411 4737593886 5398653498 5527192867 6274110822 11054385734 16581578601 33163157202 38690350069 77380700138 116071050207 232142100414